On the Optimality of an Additive Iterative Re¿nement Method (Classic Reprint)

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Excerpt from On the Optimality of an Additive Iterative Re¿nement Method In section '2, we introduce the finite element problems on composite meshes, certain projections and the additive algorithm in its basic form. In Section 3, we consider two multilevel additive algorithms and provide several bounds. The principal result is that one of these methods has a rate of convergence which is independent of the number of refinement levels as well as the mesh sizes. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.